20330100120 has 256 divisors, whose sum is σ = 67858560000. Its totient is φ = 4831488000.

The previous prime is 20330100101. The next prime is 20330100121. The reversal of 20330100120 is 2100103302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20330100096 and 20330100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14531181 + ... + 14532579.

It is an arithmetic number, because the mean of its divisors is an integer number (265072500).

Almost surely, 2^20330100120 is an apocalyptic number.

20330100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280000).

20330100120 is an abundant number, since it is smaller than the sum of its proper divisors (47528459880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20330100120 is a wasteful number, since it uses less digits than its factorization.

20330100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20330100120 its reverse (2100103302), we get a palindrome (22430203422).

The spelling of 20330100120 in words is "twenty billion, three hundred thirty million, one hundred thousand, one hundred twenty".